32
1
25
1
6
7
24
1
12
1
1
5
6
4
2
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
2
1
1
1
1
1
1
1
1
3
1
4
1
2
2
1
1
5
2
1
1
3
4
1
5
1
1
1
1
1
1
31
19
2
1
1
1
4
2
1
1
1
1
6
2
1
1
3
1
1
8
4
1
1
1
2
2
1
1
1
7
3
2
1
1
1
1
1
3
3
2
29
1
1
2
1
1
2
1
1
1
1
3
4
1
4
2
1
31
2
2
1
4
1
2
1
1
8
5
1
19
6
3
2
1
1
1
1
1
3
4
1
7
2
2
6
1
1
2
1
1
2
1
1
2
1
1
2
1
1
26
1
1
1
11
9
2
1
1
1
1
1
7
4
3
1
6
4
2
1
3
3
1
1
1
2
2
2
2
3
1
1
1
4
2
1
12
1
12
1
2
2
1
1
5
9
1
1
3
3
1
3
1
1
1
1
2
1
1
2
1
4
2
1
1
1
60
1
3
1
1
1
1
32
1
4
1
1
3
1
1
1
2
2
1
1
1
7
1
1
2
1
1
2
1
30
1
3
1
1
1
5
1
15
1
3
2
5
1
2
10
5
2
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
1
2
1
1
1
1
2
1
2
4
1
2
1
52
1
1
4
3
2
2
1
6
1
1
4
6
2
1
3
3
2
16
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
2
1
7
1
5
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
3
1
2
6
2
1
1
1
1
1
1
1
3
2
1
1
1
2
5
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
4
2
1
1
1
1
1
1
3
1
6
2
1
1
7
1
1
4
6
2
2
1
2
1
1
1
6
2
1
10
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
4
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
9
1
5
3
2
2
1
1
1
23
3
1
10
43
1
7
5
3
5
3
6
2
1
1
1
7
1
1
1
2
12
5
2
1
2
3
2
3
1
3
3
2
5
2
1
1
1
2
1
3
45
3
1
8
1
1
1
2
1
4
17
3
2
1
1
1
2
1
2
1
1
6
10
3
2
1
1
9
1
5
1
9
1
1
3
1
1
1
2
1
1
1
2
5
3
1
1
1
1
2
1
1
2
1
2
2
4
6
1
1
3
9
1
2
1
5
1
1
4
6
1
3
23
1
1
3
3
1
1
3
1
1
2
1
1
1
1
1
1
5
1
1
1
1
2
10
1
1
5
3
1
1
1
2
1
1
1
1
1
6
1
1
3
1
3
1
1
4
1
3
1
1
3
1
5
1
1
1
1
1
1
4
2
2
9
2
11
3
2
3
1
2
1
1
1
1
13
2
1
1
1
5
1
1
1
2
1
1
1
3
3
1
36
3
1
1
1
1
1
3
2
15
1
1
1
2
2
1
1
2
2
1
1
2
1
1
22
1
1
4
1
2
1
1
1
3
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
4
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
2
1
2
1
1
1
1
1
3
9
1
2
1
1
2
2
2
1
6
4
4
2
3
1
7
4
1
1
2
1
1
2
1
2
2
4
1
1
1
1
1
2
1
1
1
2
1
1
9
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
2
1
1
1
3
1
2
1
2
2
1
9
6
1
1
1
8
1
13
1
3
1
1
1
33
1
1
1
3
1
1
2
1
1
3
1
3
3
3
3
1
1
1
10
1
1
1
2
1
29
7
1
3
1
8
7
1
6
3
1
1
2
3
1
1
1
2
3
1
1
1
12
2
2
1
5
2
1
2
3
1
1
5
2
1
21
2
4
5
1
4
3
1
1
2
1
1
2
8
3
3
2
1
1
5
14
5
1
3
1
2
1
2
4
3
1
1
1
2
1
1
2
2
1
1
1
1
2
1
2
1
2
1
1
2
10
1
2
2
1
3
5
1
7
1
7
1
1
1
1
1
2
1
1
6
4
1
1
1
1
24
2
1
1
2
2
3
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
18
2
1
1
3
1
7
5
1
1
2
1
1
3
4
1
3
1
1
2
1
2
1
2
1
1
2
5
1
3
2
3
2
1
1
3
16
1
1
2
9
3
1
1
1
1
1
1
5
3
4
7
4
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
12
3
1
2
1
1
1
1
1
1
6
1
1
1
3
1
8
2
2
2
3
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
6
1
1
6
1
1
1
2
1
2
1
1
6
2
1
1
1
1
1
2
2
1
2
3
1
1
2
1
2
3
2
1
2
2
1
2
1
1
1
1
1
1
3
14
2
1
1
2
1
1
4
1
1
3
1
1
3
4
1
2
1
1
1
2
4
7
26
2
2
2
1
1
1
1
1
3
1
22
1
1
9
1
2
1
1
1
1
10
6
3
3
1
2
1
1
1
1
1
1
1
5
1
1
1
1
9
1
3
1
2
1
2
2
1
1
1
2
2
1
1
1
3
3
2
1
1
2
1
1
6
10
1
1
1
3
1
2
2
1
3
1
10
1
1
2
3
1
1
2
2
1
1
14
2
4
1
2
2
1
1
1
3
1
3
2
1
1
1
1
2
1
4
1
1
2
1
1
2
1
1
1
1
1
1
1
6
5
1
3
2
4
7
5
1
1
4
1
1
2
3
7
1
1
11
3
1
1
1
1
1
2
1
1
3
1
1
1
2
5
1
1
1
2
1
1
6
1
2
1
1
1
1
6
2
11
1
1
2
1
1
1
2
1
1
1
2
3
1
6
1
2
6
2
1
1
1
1
1
1
8
1
1
1
2
4
1
2
22
2
3
2
1
1
2
1
3
4
1
2
1
1
1
11
1
1
3
1
17
2
7
3
1
2
2
3
1
1
1
1
1
1
6
1
4
5
1
2
7
12
1
6
2
1
1
1
1
1
1
4
1
2
1
2
3
1
2
6
1
4
1
4
1
3
4
3
1
6
2
1
1
4
1
1
1
1
3
2
7
4
3
4
1
1
1
1
1
1
3
2
1
4
3
1
1
1
1
1
1
1
7
1
2
3
1
8
1
1
1
2
5
1
1
3
2
9
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
5
5
9
1
2
1
2
3
1
1
1
2
2
1
2
1
1
3
1
1
3
1
4
1
3
4
1
1
11
1
2
2
1
2
1
1
1
1
1
3
1
51
2
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
4
1
1
2
2
1
1
2
1
9
5
2
1
7
1
1
1
1
2
3
2
2
1
1
2
4
1
1
5
1
1
1
1
1
3
3
5
1
1
3
2
1
24
1
26
10
2
1
1
1
2
1
1
1
2
9
2
1
13
1
1
1
5
5
3
1
1
1
1
1
2
4
1
1
1
2
5
4
1
5
5
1
3
1
1
1
23
1
2
1
2
2
6
3
1
1
1
4
1
1
1
1
2
1
2
2
1
1
3
2
4
3
1
1
1
3
1
1
4
1
2
1
1
1
1
1
2
1
1
2
2
1
1
1
1
2
2
1
1
1
1
1
1
2
1
3
2
1
2
1
1
1
4
1
1
1
2
1
5
2
1
1
1
1
1
1
1
1
1
1
2
3
2
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
11
1
11
2
2
1
1
2
1
2
2
1
1
4
1
91
2
3
1
3
1
1
1
2
1
1
1
1
2
2
1
1
1
1
2
6
5
1
1
1
1
1
5
1
2
1
1
3
1
4
2
5
4
1
4
1
2
1
3
1
2
2
1
1
1
1
1
1
1
4
3
2
6
1
2
2
2
3
5
1
1
4
1
1
1
18
2
2
1
1
1
1
1
1
1
10
4
1
1
1
9
1
1
1
2
1
1
1
1
1
3
7
4
2
1
1
2
1
1
1
5
5
1
1
1
2
10
1
4
7
2
1
1
2
9
6
1
1
1
2
2
1
1
18
4
1
1
1
1
1
1
1
1
1
1
1
6
2
1
3
1
43
1
1
1
1
1
2
2
3
2
1
1
2
5
1
1
2
11
1
2
1
14
1
1
2
3
1
1
3
1
1
2
1
1
1
1
2
1
1
1
8
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
2
4
3
3
1
2
9
2
3
2
1
1
6
4
1
1
2
1
1
1
5
1
2
2
1
1
1
1
1
1
1
2
1
2
2
1
13
1
1
10
2
2
1
3
1
2
4
1
1
3
2
2
4
8
4
1
4
1
2
8
1
2
1
17
6
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
4
2
1
1
1
1
1
2
7
1
1
2
1
2
1
1
1
5
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
8
2
1
1
12
1
2
9
1
1
2
2
2
2
1
1
1
1
3
2
2
1
1
4
2
2
2
4
2
1
1
5
2
1
1
1
1
1
6
1
3
1
1
2
3
7
1
1
1
1
1
4
3
6
2
1
2
1
7
1
24
1
4
1
1
1
1
4
17
3
1
10
3
1
1
1
2
2
1
1
4
3
1
1
1
7
4
1
6
1
1
5
11
3
1
1
1
10
1
1
1
1
4
1
8
2
1
3
13
1
1
1
1
3
1
1
1
7
7
6
1
1
2
1
7
2
1
1
1
2
2
1
1
3
2
1
9
1
1
2
2
3
5
1
1
1
2
1
2
1
1
1
4
1
6
1
1
1
3
1
3
1
1
3
2
3
1
1
57
1
3
1
2
2
1
1
1
1
2
1
5
1
1
8
1
1
1
1
9
1
1
3
1
1
1
4
1
1
1
2
2
1
1
3
1
2
1
1
1
1
1
1
3
1
1
9
1
4
10
1
2
1
1
8
5
3
2
1
1
1
2
2
1
1
3
1
3
1
2
1
1
3
1
1
3
1
1
1
1
1
2
2
1
29
1
9
1
1
2
3
1
1
2
1
2
1
5
1
12
1
12
1
2
1
4
3
2
2
1
3
2
1
1
6
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
15
1
4
1
1
1
1
2
2
1
1
2
2
2
1
1
2
2
3
1
1
3
1
1
1
1
6
1
1
1
2
11
2
3
1
1
15
1
6
1
4
1
1
4
33
5
12
1
1
1
3
2
5
4
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
7
5
6
1
1
1
2
12
3
1
1
1
2
1
2
1
1
2
1
1
2
2
2
3
1
1
4
3
1
4
2
1
1
1
1
3
1
5
1
1
2
1
1
2
5
1
12
1
1
1
4
1
1
1
1
1
1
2
5
1
1
1
2
11
1
1
2
6
2
9
5
1
2
2
2
1
1
1
3
1
1
3
1
7
1
2
1
1
1
1
3
6
1
1
1
2
4
2
2
1
1
1
1
1
2
4
8
7
10
1
1
1
1
2
2
2
2
6
1
3
1
1
1
1
1
3
12
1
2
3
1
1
1
12
3
1
1
1
8
1
1
4
4
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
9
4
1
1
1
1
2
10
10
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
2
1
15
1
2
1
1
1
2
1
12
1
1
4
1
1
1
2
1
1
3
2
3
1
1
1
1
1
2
1
2
1
2
1
2
1
1
4
1
2
6
4
2
1
2
1
1
1
1
1
1
4
2
3
1
1
1
10
6
9
2
2
1
10
1
1
2
1
1
2
14
1
6
1
1
2
1
1
5
5
1
3
1
2
3
1
2
3
1
3
1
2
1
1
2
1
1
3
1
3
1
1
2
5
1
2
1
2
1
1
1
1
1
6
1
4
1
1
2
1
2
1
1
1
1
3
1
4
1
1
2
1
2
5
1
1
4
1
3
1
2
102
12
6
14
2
1
1
1
5
1
3
1
1
3
1
1
2
1
2
1
1
1
1
1
5
2
1
1
2
2
1
1
1
1
3
4
2
7
2
4
1
1
1
2
1
3
1
11
1
2
2
2
15
2
8
1
3
2
3
1
2
1
6
1
2
1
6
1
1
1
1
1
1
1
1
1
6
3
1
3
7
62
3
2
1
1
1
1
29
3
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
3
1
6
1
14
4
1
3
1
1
3
1
2
1
1
1
1
5
1
2
5
4
1
1
1
1
1
1
1
1
1
2
2
3
4
4
2
2
1
1
5
1
1
8
1
5
2
5
1
6
1
2
1
2
8
8
1
8
1
1
1
1
2
3
1
1
4
1
2
3
3
1
32
1
1
1
2
1
88
13
1
1
3
1
2
2
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
4
3
1
6
1
2
2
1
1
1
3
1
3
1
1
3
18
1
2
1
1
3
1
3
1
2
2
10
1
17
12
8
1
1
2
2
1
2
1
1
3
3
7
4
2
1
3
8
1
1
4
1
9
1
6
2
1
2
10
1
2
2
1
1
1
1
1
2
1
1
1
4
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
3
2
9
1
1
3
1
1
1
1
5
1
1
1
1
2
8
1
3
1
9
1
1
5
1
1
1
1
1
2
2
1
1
4
1
1
1
2
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
4
3
3
1
1
1
1
1
3
1
9
1
1
1
1
2
1
1
1
1
3
1
1
6
2
1
1
1
2
2
2
1
1
1
1
2
1
1
1
2
1
1
2
3
54
2
1
1
1
2
5
3
1
1
1
7
6
2
9
1
1
2
2
1
2
1
3
1
1
2
1
1
1
1
45
3
1
2
1
2
1
1
5
2
1
1
1
25
4
3
2
6
3
1
3
3
1
1
2
1
5
1
1
2
1
3
1
1
1
5
33
1
1
19
1
6
81
2
20
2
1
1
1
2
1
1
1
3
1
9
1
2
1
2
2
2
1
1
1
1
4
1
1
7
3
1
1
2
1
1
1
19
6
10
1
3
2
1
2
1
1
3
5
1
1
1
1
1
5
1
1
1
3
5
1
1
12
3
1
4
3
1
2
4
3
1
2
2
1
1
1
17
7
1
1
1
1
3
2
2
1
1
2
1
2
1
4
1
2
3
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
5
1
1
1
1
3
11
1
4
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
2
1
1
2
2
1
1
4
8
1
1
1
3
5
2
1
1
2
1
4
3
1
1
2
1
1
7
6
2
1
1
1
2
1
1
1
1
4
1
1
2
2
1
2
1
1
3
1
1
2
23
1
13
2
1
5
1
1
1
1
1
1
1
2
1
1
1
3
2
2
2
1
1
1
4
1
1
22
3
1
3
3
1
2
1
1
5
5
1
2
1
1
1
8
1
3
5
7
1
1
1
1
2
1
1
1
2
1
5
2
4
106
3
1
2
3
1
1
1
4
5
3
1
1
2
2
4
5
1
6
7
1
9
1
3
4
1
3
25
1
2
1
1
20
5
5
1
9
3
1
1
1
1
1
4
4
5
4
14
2
1
8
4
8
10
2
1
2
1
6
1
1
3
1
1
3
2
4
1
2
1
1
1
3
1
1
1
1
1
1
4
1
1
2
3
1
1
2
1
3
1
1
2
1
1
1
5
1
1
8
1
1
2
1
1
7
4
5
2
2
6
1
9
2
2
1
3
1
1
1
1
1
1
1
3
1
1
1
4
2
1
2
1
1
1
1
1
1
4
3
3
2
1
2
3
1
3
2
1
1
1
1
1
2
2
1
1
1
17
2
4
1
1
1
1
3
1
1
1
1
1
1
2
2
1
1
1
2
1
1
6
1
1
3
1
1
1
1
3
1
3
1
1
1
6
2
1
3
1
1
1
2
2
4
1
3
3
3
1
1
45
2
1
4
1
10
1
1
1
1
2088
1
1
1
1
1
3
1
1
1
1
2
2
2
4
6
1
2
2
9
2
2
1
2
1
2
2
1
1
1
1
3
2
1
1
2
1
1
3
1
1
1
2
1
1
3
2
16
1
10
7
4
1
1
1
1
1
2
1
1
1
1
2
2
1
3
1
2
1
1
1
1
1
1
10
5
1
6
2
1
1
2
1
1
2
1
5
1
2
1
4
1
5
2
1
2
3
4
1
1
2
1
1
3
1
1
1
1
1
4
1
1
1
4
1
1
1
1
4
1
1
2
10
1
1
1
2
1
1
1
3
1
1
4
2
1
1
1
1
2
1
1
1
1
1
3
1
1
9
1
7
1
2
2
1
2
1
1
1
1
1
1
4
1
2
1
1
1
4
3
5
3
3
1
1
2
1
1
1
8
2
1
76
2
1
10
2
1
1
1
1
3
26
3
2
1
1
2
1
1
4
1
2
2
2
2
1
2
1
5
5
1
2
3
1
1
1
1
20
1
4
1
4
1
1
1
3
1
1
1
6
1
1
1
1
1
1
1
2
1
1
1
4
1
3
1
1
2
1
1
4
1
1
14
23
6
1
1
2
1
1
5
1
2
1
2
16
2
1
2
4
1
2
1
2
1
1
3
1
1
3
1
1
1
3
1
22
5
3
1
1
3
4
1
12
11
2
1
1
2
10
1
3
2
2
1
2
2
2
1
4
1
61
4
1
15
1
16
9
1
8
2
1
4
1
1
1
1
1
1
1
3
9
2
1
4
1
1
5
1
2
21
5
3
1
1
2
1
1
2
12
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
2
3
1
1
1
3
1
2
1
9
2
2
1
1
1
1
1
1
7
1
1
8
4
1
1
1
5
1
1
1
1
1
1
1
2
2
1
3
2
2
1
5
2
1
1
4
1
1
3
2
6
1
1
1
4
1
1
1
2
1
17
5
2
1
1
2
17
1
1
1
2
1
3
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
6
1
1
1
1
2
1
1
1
1
1
5
3
1
8
1
1
1
1
1
1
5
2
2
1
1
1
1
1
13
10
1
1
4
1
11
2
1
1
1
1
1
1
1
3
2
4
3
2
2
1
1
4
1
1
1
1
2
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
3
9
1
1
6
2
1
1
1
4
2
1
23
1
7
1
1
1
1
1
61
5
2
1
3
1
2
1
1
3
1
7
5
1
1
1
1
1
1
2
2
1
2
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
2
3
1
3
1
1
1
7
1
1
1
2
1
1
1
2
2
12
4
1
1
2
1
1
1
1
2
1
2
3
1
1
1
1
1
4
3
1
1
1
9
2
2
10
5
4
4
1
1
2
1
1
5
2
1
1
1
1
1
1
21
1
1
1
2
13
17
10
2
4
1
1
1
1
1
1
2
2
3
1
2
1
7
2
1
1
1
1
1
2
4
1
6
4
1
1
2
2
4
1
3
1
6
1
1
3
3
1
1
1
1
1
1
1
19
1
10
13672
1
1
1
2
3
1
11
3
2
6
4
1
1
1
2
4
1
2
1
27
1
12
1
1
1
2
1
10
7
1
1
3
1
1
1
1
1
1
4
7
1
1
1
1
2
1
1
1
9
2
3
1
1
4
12
1
1
2
1
1
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
9
1
1
1
1
1
2
1
1
2
5
2
3
5
30
7
1
1
1
1
1
2
1
5
6
1
10
1
4
1
1
2
1
2
1
1
4
3
2
40
9
1
1
1
1
1
1
1
2
2
1
3
1
1
1
2
1
1
9
2
1
9
7
1
10
1
2
1
1
1
10
1
5
2
5
1
3
2
2
1
1
2
1
9
1
1
6
2
87
1
1
2
1
2
2
1
1
1
4
3
2
1
4
1
1
2
3
8
2
1
5
1
1
1
4
1
1
1
8
3
1
4
2
3
4
2
4
1
44
2
1
7
1
1
1
3
10
2
6
1
5
3
1
1
1
1
1
2
2
9
6
2
1
8
2
4
2
10
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
2
1
3
3
2
1
2
7
1
2
3
2
3
1
1
1
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
3
5
1
1
1
19
1
1
1
1
1
2
1
1
2
1
1
3
2
2
1
1
1
2
1
1
1
1
1
2
1
2
1
2
1
2
5
1
4
14
1
1
1
10
2
1
1
7
2
69
1
1
1
1
1
2
1
2
1
3
2
1
1
3
2
1
11
2
4
1
1
1
16
3
1
1
1
1
1
1
1
1
1
1
12
1
1
2
2
2
2
1
2
2
1
3
40
1
3
1
1
2
1
2
1
3
1
1
2
1
2
1
1
1
3
1
3
1
2
46
11
9
1
4
6
4
6
1
1
1
1
1
1
1
22
3
3
4
5
2
1
1
6
4
1
1
1
1
3
2
1
1
1
3
3
1
3
2
1
3
4
1
5
7
1
1
2
2
1
1
1
1
1
2
1
1
1
2
3
11
1
1
3
1
1
1
1
1
2
1
3
2
3
1
1
1
1
4
1
2
1
1
1
1
1
1
1
5
1
1
2
1
3
1
2
1
2
2
1
3
1
1
1
1
1
1
3
5
1
2
4
2
1
1
2
2
1
1
1
3
1
4
2
1
1
4
1
1
87
1
2
1
2
2
1
1
1
1
1
1
1
1
3
5
2
1
1
1
1
1
1
2
1
2
1
1
1
5
2
1
1
1
1
1
1
2
2
1
1
11
2
4
1
1
2
2
4
1
1
28
2
2
8
1
1
3
1
4
4
3
1
5
3
2
1
1
1
1
1
4
1
1
17
3
4
3
3
1
1
2
1
1
1
2
1
1
3
3
1
1
4
1
1
1
1
2
2
3
1
1
1
1
1
1
1
1
2
1
5
4
2
1
6
1
5
1
2
1
2
1
2
4
1
1
1
1
2
2
1
1
1
1
4
5
6
5
2
1
1
1
3
2
2
5
1
1
1
1
1
1
2
3
1
1
1
2
2
7
2
1
1
3
3
2
1
9
3
6
1
2
1
1
5
1
2
1
1
1
1
32
3
17
6
8
1
3
1
1
5
3
1
33
5
3
12
2
1
10
1
1
2
2
1
12
1
2
1
2
2
2
2
1
1
1
2
1
1
1
1
1
10
3
1
3
4
6
1
10
2
6
1
1
1
3
1
3
1
1
3
1
1
2
4
1
2
3
2
2
2
2
1
3
1
1
8
16
1
1
1
2
2
3
1
1
7
17
3
1
1
1
1
4
1
2
1
1
1
1
2
1
1
1
6
1
1
63
3
6
3
2
1
1
2
1
1
2
1
1
1
5
1
1
1
1
1
1
3
2
2
2
1
5
2
2
1
1
4
2
2
1
4
1
1
7
5
3
1
1
3
2
9
2
1
11
7
3
1
6
1
1
2
10
13
1
1
1
3
1
4
30
38
4
2
2
1
1
3
6
3
1
5
1
1
1
1
1
1
3
1
2
1
6
10
1
1
1
2
1
11
14
58
1
5
1
8
3
1
3
1
2
11
1
2
1
1
1
4
2
4
1
6
1
1
1
1
2
1
1
40
1
1
1
1
1
1
1
4
1
1
1
5
5
1
1
1
3
2
5
1
1
3
1
1
1
1
5
2
1
1
1
1
1
1
1
1
5
12
2
6
1
1
2
1
1
2
1
2
1
1
1
1
1
7
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
7
2
1
2
1
3
2
3
1
1
1
7
6
1
3
3
2
2
2
10
2
1
3
9
3
9
1
1
1
2
1
1
1
2
1
1
1
6
9
4
1
1
1
1
1
5
1
10
1
1
1
1
1
2
2
1
1
1
1
1
1
2
4
1
2
2
3
1
4
1
1
7
1
1
1
1
2
4
4
1
1
2
3
1
2
1
2
1
3
1
1
1
2
2
1
1
4
2
4
2
8
1
1
1
2
3
1
1
2
1
1
2
1
8
1
1
1
1
1
2
4
1
1
8
5
1
1
2
4
2
1
3
1
7
1
1
2
6
1
2
1
3
4
1
2
1
1
1
1
1
1
1
4
5
10
2
2
1
1
22
1
16
1
1
1
3
3
32
1
3
4
1
1
1
1
3
2
1
1
1
9
2
1
1
1
1
1
13
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
5
9
3
1
6
6
1
1
1
1
3
5
7
4
1
3
1
1
1
1
2
4
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
3
12
1
2
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
2
1
1
2
1
1
2
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
4
1
1
1
1
10
4
1
1
1
1
1
2
2
2
1
3
1
2
4
1
3
2
1
1
2
1
1
1
1
1
1
4
1
1
1
2
1
1
2
1
1
1
4
5
3
1
1
3
1
2
1
5
2
1
2
1
2
1
2
1
3
2
1
1
3
1
1
1
1
2
1
1
3
2
1
2
1
1
1
1
3
1
1
2
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
2
6
2
1
2
1
3
1
3
1
3
1
2
1
3
2
1
1
1
1
2
8
1
2
1
1
1
1
1
1
4
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
4
1
3
1
1
2
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
1
2
3
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
4
3
1
3
2
1
2
2
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
2
1
1
1
2
1
5
2
1
1
3
1
1
3
7
1
1
1
4
2
2
3
1
3
2
9
1
4
1
4
1
1
1
1
4
4
1
2
1
1
4
1
2
1
1
2
1
1
2
3
2
1
1
1
1
7
1
3
1
3
1
1
2
1
1
1
4
3
1
2
1
1
1
1
1
3
1
1
1
2
3
3
1
2
1
1
1
4
1
1
6
2
1
1
1
1
4
1
1
1
1
2
1
1
5
1
4
1
1
2
3
1
1
1
1
1
2
2
2
1
2
3
1
1
5
1
1
1
1
1
1
2
1
2
1
1
1
1
3
3
1
3
1
2
2
1
1
4
1
2
4
2
3
1
1
2
1
1
2
2
6
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
3
2
2
1
1
1
2
1
4
3
1
1
1
1
1
1
4
1
1
1
2
1
1
2
1
1
3
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
2
1
2
3
1
1
1
1
1
7
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
4
1
1
7
3
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
7
1
2
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
2
1
1
1
1
1
3
1
1
1
1
2
3
1
1
1
3
2
1
3
1
1
1
1
3
1
2
1
1
1
1
1
2
1
1
1
2
1
1
2
5
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
2
1
2
1
2
1
2
1
1
1
2
1
1
2
1
4
1
1
1
1
1
1
1
2
1
1
1
3
1
1
3
2
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
2
2
1
1
1
1
3
1
1
1
1
1
4
1
3
1
1
2
1
1
2
1
1
1
2
1
3
2
1
1
1
1
2
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
3
137
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
2
2
1
1
1
2
1
1
2
1
1
2
1
1
1
4
1
1
1
1
1
2
1
2
1
1
4
1
1
2
1
1
1
1
1
2
3
1
1
4
1
1
1
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
2
1
2
1
4
1
1
1
2
1
1
1
1
1
4
3
2
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
9
3
1
2
1
1
2
1
1
2
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
16
1
1
1
3
1
4
3
1
1
2
3
1
2
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
5
2
1
1
2
4
1
1
1
1
3
1
1
2
1
1
1
1
4
1
2
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
7
1
2
2
3
27
1
2
1
3
1
2
1
2
1
20
8
4
1
1
1
1
3
1
1
1
1
2
2
1
5
1
1
1
9
2
48
21
7
3
5
1
1
5
1
1
1
1
2
1
2
1
2
2
1
2
1
1
2
1
4
2
2
1374
1
1
6
2
1
4
2
1
1
1
1
5
1
1
1
2
1
1
3
1
4
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
1
1
3
1
3
1
1
3
1
2
3
2
1
1
1
1
2
1
3
1
3
1
1
7
2
11
1
1
1
1
1
2
1
1
3
11
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
2
1
1
8
1
4
1
5
3
1
2
1
1
2
3
1
3
5
3
5
1
1
2
4
3
3
1
1
19
8
1
1
5
3
1
2
1
9
1
1
2
1
1
1
1
2
1
1
2
1
2
1
1
1
2
10
1
2
2
3
1
4
1
3
1
1
16
2
14
1
1
1
5
1
2
1
1
1
6
4
2
1
9
1
1
1
1
2
2
3
1
2
5
1
1
4
5
2
1
1
1
1
1
1
1
1
1
1
1
11
5
1
1
1
2
4
3
1
1
3
1
3
1
1
1
5
1
2
1
1
2
1
2
2
2
1
1
1
11
2
1
13
1
1
2
1
6
4
1
1
1
2
1
11
2
2
3
1
2
3
8
1
1
9
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
2
1
1
1
1
1
1
17
2
1
1
1
2
1
4
2
5
2
2
1
1
4
1
1
1
3
1
1
1
2
1
1
5
2
1
1
2
1
1
1
1
1
1
1
2
2
2
1
2
2
1
1
1
1
2
2
1
1
1
4
1
2
1
2
1
1
1
4
3
1
1
1
2
1
1
2
1
1
2
10
1
1
1
2
1
1
1
4
3
2
2
1
2
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
3
2
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
2
2
4
2
1
1
1
1
1
2
1
5
2
4
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
3
1
4
3
1
1
1
1
1
1
1
1
4
2
3
1
2
1
4
3
2
2
1
2
1
2
2
2
1
1
2
4
1
2
1
1
1
4
17
4
1
1
8
7
1
1
1
1
3
5
4
3
1
1
5
3
1
1
2
2
1
1
1
1
2
1
1
1
1
1
29
2
2
3
1
2
3
1
1
1
2
1
2
5
3
1
1
2
1
1
1
4
1
1
1
6
2
1
9
5
4
1
2
1
9
1
1
1
1
3
1
3
1
1
1
1
2
1
3
1
1
3
2
6
1
1
1
1
1
1
1
2
1
6
1
3
2
1
3
3
3
2
3
1
1
2
1
1
1
4
1
2
7
5
1
1
6
5
1
48
23
2
1
1
2
1
2
1
1
1
7
3
1
2
19
1
7
1
9
1
1
1
1
2
1
3
1
7
1
1
3
2
2
1
1
1
3
2
3
3
3
1
1
1
10
1
29
5
1
4
3
4
5
4
1
1
3
1
1
1
1
1
1
2
1
1
1
4
14
1
2
1
1
1
2
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
2
2
2
5
1
1
1
1
1
1
1
2
3
3
1
2
1
3
1
2
1
3
4
1
4
5
2
3
1
1
25
6
1
1
1
1
2
1
2
1
1
1
1
4
2
1
1
1
2
2
1
5
2
2
1
1
1
3
1
5
1
1
1
4
1
1
1
1
1
1
2
1
1
3
1
3
1
2
2
4
1
1
1
1
2
1
1
1
1
1
1
2
2
1
2
1
1
1
3
3
1
8
7
4
1
2
22
2
6
2
35
1
2
2
1
1
1
4
6
2
2
33
6
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
6
1
1
1
17
1
1
1
2
2
2
1
1
1
1
2
2
1
1
2
6
6
4
1
2
1
1
1
2
1
1
1
2
3
1
2
2
1
2
2
2
1
1
13
1
1
1
2
2
2
1
2
1
1
1
1
2
1
1
1
1
1
2
2
1
2
2
1
2
2
4
2
1
2
2
1
1
1
2
2
1
1
2
1
4
1
4
1
2
1
1
2
1
4
1
1
1
7
1
1
1
2
1
1
1
1
1
1
1
14
2
1
1
1
1
1
1
1
1
1
2
12
1
3
2
2
2
1
2
2
1
2
2
2
1
1
4
2
1
4
5
1
4
1
1
1
4
7
1
1
3
1
1
1
1
1
1
10
9
1
2
3
2
1
1
1
1
2
1
1
4
2
2
6
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
3
1
1
1
4
2
2
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
2
1
1
1
1
1
1
1
2
1
1
3
2
4
2
1
1
6
1
1
1
1
1
2
1
1
4
1
1
2
2
1
2
2
1
1
1
3
8
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
2
1
1
1
2
1
4
2
1
1
1
8
1
3
1
3
8
1
1
2
1
11
2
1
1
1
1
3
1
2
2
1
1
2
1
1
1
1
9
2
6
2
20
6
1
1
2
1
2
6
1
2
5
1
1
4
1
26
1
8
1
2
1
12
1
7
2
2
2
2
1
8
1
1
1
1
1
1
1
2
2
1
1
2
1
2
1
1
1
1
5
2
2
2
1
1
1
1
1
1
9
2
1
1
1
1
2
3
1
1
68
40
1
1
1
4
1
1
2
1
1
1
1
1
11
1
3
2
2
1
1
1
1
4
1
1
1
1
17
8
7
8
126
3
4
3
1
32
3
8
5
1
1
1
11
1
1
1
3
3
5
1
1
8
44
2
5
2
1
1
5
1
1
1
2
2
1
1
1
14
3
3
1
3
3
1
2
5
2
1
1
1
3
1
2
2
1
1
1
2
1
3
1
1
2
9
1
1
3
10
2
2
2
2
2
1
1
1
1
1
4
1
13
1
25
2
1
3
1
1
1
1
2
3
1
1
1
1
1
2
1
1
3
1
1
2
4
2
8
1
7
5
5
5
1
5
3
1
1
7
1
1
1
3
4
2
2
1
1
1
1
1
3
15
1
1
1
2
1
1
2
2
13
1
2
1
2
1
1
1
7
1
1
1
1
2
2
1
11
1
15
3
2
1
5
22
1
2
1
1
5
14
4
1
1
1
1
6
2
1
1
1
6
1
1
1
1
2
2
3
2
4
4
2
1
1
1
1
1
1
1
1
1
1
2
3
1
1
5
1
1
2
1
1
2
1
1
1
3
7
1
1
1
2
3
1
5
1
1
1
1
2
40
1
3
1
1
1
5
7
1
4
44
1
2
1
1
2
2
1
1
2
1
1
1
11
1
1
1
1
3
1
2
6
3
1
1
2
1
3
4
1
1
2
1
46
5
2
1
1
5
1
6
1
1
6
27
1
2
2
14
4
2
3
1
3
5
1
10
1
1
1
6
2
1
1
1
5
1
2
1
3
1
2
1
1
1
1
2
1
2
1
2
2
7
1
4
5
3
1
3
2
1
1
4
1
1
1
1
1
1
1
1
1
1
4
1
4
1
9
2
1
7
1
2
10
1
2
1
1
1
1
1
1
4
3
1
1
1
2
1
1
1
14
5
2
1
38
4
7
1
1
1
3
9
1
1
1
1
5
3
5
1
3
2
7
4
2
1
1
1
2
1
2
4
2
2
5
1
1
1
2
1
2
1
1
16
2
1
8
1
1
6
1
1
2
1
2
8
1
1
1
1
1
1
1
4
1
1
1
2
1
31
2
1
13
6
2
1
1
1
1
3
5
5
187
1
1
1
1
2
15
2
1
1
1
1
1
2
1
6
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
15
1
1
1
4
1
2
1
1
2
1
1
1
2
4
1
1
1
1
1
6
1
1
1
4
8
1
2
1
1
1
1
16
1
2
1
16
1
1
5
2
4
6
13
1
2
39
1
7
3
1
1
2
1
1
1
1
1
6
1
1
1
1
2
4
1
1
2
3
4
1
1
4
2
6
1
7
1
2
2
2
5
7
1
1
1
1
1
1
2
2
1
1
9
2
1
1
1
2
2
1
1
1
3
23
2
1
3
1
1
2
10
1
1
1
2
2
3
2
4
1
1
2
2
1
1
1
5
5
3
1
1
1
1
1
1
4
1
6
2
1
1
1
1
2
1
4
1
1
1
1
1
1
12
3
1
1
4
1
1
1
7
1
1
2
8
3
14
12
2
1
1
1
2
3
1
18
6
1
1
1
1
1
2
1
1
1
1
5
1
2
2
2
1
1
1
2
3
2
1
2
2
6
3
1
1
2
1
1
3
2
1
229
3
5
3
2
2
1
1
1
2
2
1
1
3
2
1
5
2
18
1
4
3
17
8
1
3
1
1
8
1
2
3
4
3
3
2
1
3
1
3
6
7
4
1
1
1
1
1
5
16
3
8
1
1
19
1
1
1
3
1
1
1
1
1
8
1
2
1
1
3
4
1
1
3
1
1
1
1
1
2
2
1
2
1
1
2
4
4
1
1
2
4
1
1
12
3
4
1
1
2
2
1
3
1
1
1
1
1
1
3
5
3
3
1
1
2
2
10
10
10
3
2
11
2
5
2
1
1
2
1
1
2
1
1
1
2
3
36
1
1
2
1
2
8
1
1
1
1
4
1
1
1
1
2
1
1
1
2
1
7
578
1
1
1
1
1
1
2
3
5
2
1
9
4
3
2
2
14
5
4
1
5
14
1
4
5
5
1
3
1
1
1
8
5
1
6
6
1
1
10
1
10
5
4
12
5
1
3
1
6
2
5
2
3
1
15
1
2
1
1
1
2
2
1
1
1
1
1
1
3
5
1
1
12
2
1
10
5
1
1
1
1
2
2
3
2
1
1
1
2
1
1
3
1
1
1
14
1
1
1
2
2
3
7
3
1
2
1
2
1
1
1
5
3
1
2
13
2
9
1
2
1
3
1
1
1
2
1
1
